13580353 has 2 divisors, whose sum is σ = 13580354. Its totient is φ = 13580352.

The previous prime is 13580341. The next prime is 13580401. The reversal of 13580353 is 35308531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12439729 + 1140624 = 3527^2 + 1068^2 .

It is a cyclic number.

It is not a de Polignac number, because 13580353 - 2¹⁷ = 13449281 is a prime.

It is not a weakly prime, because it can be changed into another prime (13580053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6790176 + 6790177.

It is an arithmetic number, because the mean of its divisors is an integer number (6790177).

Almost surely, 2^13580353 is an apocalyptic number.

It is an amenable number.

13580353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13580353 is an equidigital number, since it uses as much as digits as its factorization.

13580353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 13580353 is about 3685.1530497389. The cubic root of 13580353 is about 238.5816400288.

Adding to 13580353 its reverse (35308531), we get a palindrome (48888884).

The spelling of 13580353 in words is "thirteen million, five hundred eighty thousand, three hundred fifty-three".